Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048o |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4739072 = 212 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -2 4 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6169,184455] |
[a1,a2,a3,a4,a6] |
Generators |
[410:595:8] |
Generators of the group modulo torsion |
j |
6339842552512/1157 |
j-invariant |
L |
3.9567936491629 |
L(r)(E,1)/r! |
Ω |
1.9225551979707 |
Real period |
R |
4.1161821034225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74048n2 37024b1 |
Quadratic twists by: -4 8 |